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Finding the Fourth Proportional to 228,421.80, 342,681.30 and 70,666.20

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Solution

The fourth proportional to 228,421.80, 342,681.30 and 70,666.20 is: 106,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,421.80 : 342,681.30 = 70,666.20 : x
  2. Step 2: Convert to fraction form
    228,421.80/342,681.30 = 70,666.20/x
  3. Step 3: Cross multiply
    228,421.80x = 342,681.30 × 70,666.20
  4. Step 4: Simplify right side
    228,421.80x = 24,215,985,282.06
  5. Step 5: Solve for x
    x = 24,215,985,282.06/228,421.80
  6. Step 6: Final answer
    x = 106,014.34

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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.