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Finding the Fourth Proportional to 191,681.10, 287,524.64 and 56,758.86

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Solution

The fourth proportional to 191,681.10, 287,524.64 and 56,758.86 is: 85,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,681.10 : 287,524.64 = 56,758.86 : x
  2. Step 2: Convert to fraction form
    191,681.10/287,524.64 = 56,758.86/x
  3. Step 3: Cross multiply
    191,681.10x = 287,524.64 × 56,758.86
  4. Step 4: Simplify right side
    191,681.10x = 16,319,570,788.31
  5. Step 5: Solve for x
    x = 16,319,570,788.31/191,681.10
  6. Step 6: Final answer
    x = 85,139.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.