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Finding the Fourth Proportional to 99,970.67, 137,959.80 and 54,649.20

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Solution

The fourth proportional to 99,970.67, 137,959.80 and 54,649.20 is: 75,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,970.67 : 137,959.80 = 54,649.20 : x
  2. Step 2: Convert to fraction form
    99,970.67/137,959.80 = 54,649.20/x
  3. Step 3: Cross multiply
    99,970.67x = 137,959.80 × 54,649.20
  4. Step 4: Simplify right side
    99,970.67x = 7,539,391,875.74
  5. Step 5: Solve for x
    x = 7,539,391,875.74/99,970.67
  6. Step 6: Final answer
    x = 75,416.04

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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.