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Finding the Fourth Proportional to 19,764,508.80, 29,646,763.20 and 8,402,102.40

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Solution

The fourth proportional to 19,764,508.80, 29,646,763.20 and 8,402,102.40 is: 12,603,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764,508.80 : 29,646,763.20 = 8,402,102.40 : x
  2. Step 2: Convert to fraction form
    19,764,508.80/29,646,763.20 = 8,402,102.40/x
  3. Step 3: Cross multiply
    19,764,508.80x = 29,646,763.20 × 8,402,102.40
  4. Step 4: Simplify right side
    19,764,508.80x = 249,095,140,234,951.69
  5. Step 5: Solve for x
    x = 249,095,140,234,951.69/19,764,508.80
  6. Step 6: Final answer
    x = 12,603,153.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.