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Finding the Fourth Proportional to 131,810.76, 197,780.94 and 65,248.20

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Solution

The fourth proportional to 131,810.76, 197,780.94 and 65,248.20 is: 97,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,810.76 : 197,780.94 = 65,248.20 : x
  2. Step 2: Convert to fraction form
    131,810.76/197,780.94 = 65,248.20/x
  3. Step 3: Cross multiply
    131,810.76x = 197,780.94 × 65,248.20
  4. Step 4: Simplify right side
    131,810.76x = 12,904,850,329.31
  5. Step 5: Solve for x
    x = 12,904,850,329.31/131,810.76
  6. Step 6: Final answer
    x = 97,904.38

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1.5x scale

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.