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Finding the Fourth Proportional to 99,806.58, 137,543.67 and 71,463.06

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Solution

The fourth proportional to 99,806.58, 137,543.67 and 71,463.06 is: 98,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.58 : 137,543.67 = 71,463.06 : x
  2. Step 2: Convert to fraction form
    99,806.58/137,543.67 = 71,463.06/x
  3. Step 3: Cross multiply
    99,806.58x = 137,543.67 × 71,463.06
  4. Step 4: Simplify right side
    99,806.58x = 9,829,291,541.83
  5. Step 5: Solve for x
    x = 9,829,291,541.83/99,806.58
  6. Step 6: Final answer
    x = 98,483.40

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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.