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Finding the Fourth Proportional to 75,088.86, 103,452.69 and 61,638.81

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Solution

The fourth proportional to 75,088.86, 103,452.69 and 61,638.81 is: 84,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,088.86 : 103,452.69 = 61,638.81 : x
  2. Step 2: Convert to fraction form
    75,088.86/103,452.69 = 61,638.81/x
  3. Step 3: Cross multiply
    75,088.86x = 103,452.69 × 61,638.81
  4. Step 4: Simplify right side
    75,088.86x = 6,376,700,702.90
  5. Step 5: Solve for x
    x = 6,376,700,702.90/75,088.86
  6. Step 6: Final answer
    x = 84,922.06

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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.