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Finding the Fourth Proportional to 101,800.86, 140,502.05 and 56,493.40

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Solution

The fourth proportional to 101,800.86, 140,502.05 and 56,493.40 is: 77,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,800.86 : 140,502.05 = 56,493.40 : x
  2. Step 2: Convert to fraction form
    101,800.86/140,502.05 = 56,493.40/x
  3. Step 3: Cross multiply
    101,800.86x = 140,502.05 × 56,493.40
  4. Step 4: Simplify right side
    101,800.86x = 7,937,438,583.00
  5. Step 5: Solve for x
    x = 7,937,438,583.00/101,800.86
  6. Step 6: Final answer
    x = 77,970.25

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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.