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Finding the Fourth Proportional to 102,044.64, 140,830.32 and 56,731.44

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Solution

The fourth proportional to 102,044.64, 140,830.32 and 56,731.44 is: 78,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.64 : 140,830.32 = 56,731.44 : x
  2. Step 2: Convert to fraction form
    102,044.64/140,830.32 = 56,731.44/x
  3. Step 3: Cross multiply
    102,044.64x = 140,830.32 × 56,731.44
  4. Step 4: Simplify right side
    102,044.64x = 7,989,506,849.26
  5. Step 5: Solve for x
    x = 7,989,506,849.26/102,044.64
  6. Step 6: Final answer
    x = 78,294.23

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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.