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Finding the Fourth Proportional to 115,989.91, 160,018.23 and 75,689.17

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Solution

The fourth proportional to 115,989.91, 160,018.23 and 75,689.17 is: 104,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,989.91 : 160,018.23 = 75,689.17 : x
  2. Step 2: Convert to fraction form
    115,989.91/160,018.23 = 75,689.17/x
  3. Step 3: Cross multiply
    115,989.91x = 160,018.23 × 75,689.17
  4. Step 4: Simplify right side
    115,989.91x = 12,111,646,897.36
  5. Step 5: Solve for x
    x = 12,111,646,897.36/115,989.91
  6. Step 6: Final answer
    x = 104,419.83

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1.5x scale

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.