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Finding the Fourth Proportional to 102,130.90, 140,978.93 and 59,703.22

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Solution

The fourth proportional to 102,130.90, 140,978.93 and 59,703.22 is: 82,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.90 : 140,978.93 = 59,703.22 : x
  2. Step 2: Convert to fraction form
    102,130.90/140,978.93 = 59,703.22/x
  3. Step 3: Cross multiply
    102,130.90x = 140,978.93 × 59,703.22
  4. Step 4: Simplify right side
    102,130.90x = 8,416,896,073.15
  5. Step 5: Solve for x
    x = 8,416,896,073.15/102,130.90
  6. Step 6: Final answer
    x = 82,412.83

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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.