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Finding the Fourth Proportional to 99,702.16, 137,582.76 and 54,991.12

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Solution

The fourth proportional to 99,702.16, 137,582.76 and 54,991.12 is: 75,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702.16 : 137,582.76 = 54,991.12 : x
  2. Step 2: Convert to fraction form
    99,702.16/137,582.76 = 54,991.12/x
  3. Step 3: Cross multiply
    99,702.16x = 137,582.76 × 54,991.12
  4. Step 4: Simplify right side
    99,702.16x = 7,565,830,065.09
  5. Step 5: Solve for x
    x = 7,565,830,065.09/99,702.16
  6. Step 6: Final answer
    x = 75,884.31

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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.