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Finding the Fourth Proportional to 142,300.80, 213,386.40 and 63,374.40

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Solution

The fourth proportional to 142,300.80, 213,386.40 and 63,374.40 is: 95,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,300.80 : 213,386.40 = 63,374.40 : x
  2. Step 2: Convert to fraction form
    142,300.80/213,386.40 = 63,374.40/x
  3. Step 3: Cross multiply
    142,300.80x = 213,386.40 × 63,374.40
  4. Step 4: Simplify right side
    142,300.80x = 13,523,235,068.16
  5. Step 5: Solve for x
    x = 13,523,235,068.16/142,300.80
  6. Step 6: Final answer
    x = 95,032.74

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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.