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Finding the Fourth Proportional to 102,130.40, 140,978.24 and 59,702.72

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Solution

The fourth proportional to 102,130.40, 140,978.24 and 59,702.72 is: 82,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.40 : 140,978.24 = 59,702.72 : x
  2. Step 2: Convert to fraction form
    102,130.40/140,978.24 = 59,702.72/x
  3. Step 3: Cross multiply
    102,130.40x = 140,978.24 × 59,702.72
  4. Step 4: Simplify right side
    102,130.40x = 8,416,784,388.81
  5. Step 5: Solve for x
    x = 8,416,784,388.81/102,130.40
  6. Step 6: Final answer
    x = 82,412.14

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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.