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Finding the Fourth Proportional to 83,315.16, 114,855.30 and 59,400.30

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Solution

The fourth proportional to 83,315.16, 114,855.30 and 59,400.30 is: 81,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315.16 : 114,855.30 = 59,400.30 : x
  2. Step 2: Convert to fraction form
    83,315.16/114,855.30 = 59,400.30/x
  3. Step 3: Cross multiply
    83,315.16x = 114,855.30 × 59,400.30
  4. Step 4: Simplify right side
    83,315.16x = 6,822,439,276.59
  5. Step 5: Solve for x
    x = 6,822,439,276.59/83,315.16
  6. Step 6: Final answer
    x = 81,887.13

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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.