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Finding the Fourth Proportional to 108,597.86, 149,776.18 and 76,438.93

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Solution

The fourth proportional to 108,597.86, 149,776.18 and 76,438.93 is: 105,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,597.86 : 149,776.18 = 76,438.93 : x
  2. Step 2: Convert to fraction form
    108,597.86/149,776.18 = 76,438.93/x
  3. Step 3: Cross multiply
    108,597.86x = 149,776.18 × 76,438.93
  4. Step 4: Simplify right side
    108,597.86x = 11,448,730,373.15
  5. Step 5: Solve for x
    x = 11,448,730,373.15/108,597.86
  6. Step 6: Final answer
    x = 105,423.17

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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.