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Finding the Fourth Proportional to 103,140, 142,333.20 and 58,428

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Solution

The fourth proportional to 103,140, 142,333.20 and 58,428 is: 80,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,140 : 142,333.20 = 58,428 : x
  2. Step 2: Convert to fraction form
    103,140/142,333.20 = 58,428/x
  3. Step 3: Cross multiply
    103,140x = 142,333.20 × 58,428
  4. Step 4: Simplify right side
    103,140x = 8,316,244,209.60
  5. Step 5: Solve for x
    x = 8,316,244,209.60/103,140
  6. Step 6: Final answer
    x = 80,630.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.