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Finding the Fourth Proportional to 116,637.64, 160,877.02 and 77,855.90

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Solution

The fourth proportional to 116,637.64, 160,877.02 and 77,855.90 is: 107,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,637.64 : 160,877.02 = 77,855.90 : x
  2. Step 2: Convert to fraction form
    116,637.64/160,877.02 = 77,855.90/x
  3. Step 3: Cross multiply
    116,637.64x = 160,877.02 × 77,855.90
  4. Step 4: Simplify right side
    116,637.64x = 12,525,225,233.31
  5. Step 5: Solve for x
    x = 12,525,225,233.31/116,637.64
  6. Step 6: Final answer
    x = 107,385.79

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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.