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Finding the Fourth Proportional to 101,751.66, 140,417.70 and 56,433.86

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Solution

The fourth proportional to 101,751.66, 140,417.70 and 56,433.86 is: 77,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,751.66 : 140,417.70 = 56,433.86 : x
  2. Step 2: Convert to fraction form
    101,751.66/140,417.70 = 56,433.86/x
  3. Step 3: Cross multiply
    101,751.66x = 140,417.70 × 56,433.86
  4. Step 4: Simplify right side
    101,751.66x = 7,924,312,823.32
  5. Step 5: Solve for x
    x = 7,924,312,823.32/101,751.66
  6. Step 6: Final answer
    x = 77,878.95

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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.