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Finding the Fourth Proportional to 99,862.78, 137,811.55 and 56,840.16

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Solution

The fourth proportional to 99,862.78, 137,811.55 and 56,840.16 is: 78,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,862.78 : 137,811.55 = 56,840.16 : x
  2. Step 2: Convert to fraction form
    99,862.78/137,811.55 = 56,840.16/x
  3. Step 3: Cross multiply
    99,862.78x = 137,811.55 × 56,840.16
  4. Step 4: Simplify right side
    99,862.78x = 7,833,230,551.85
  5. Step 5: Solve for x
    x = 7,833,230,551.85/99,862.78
  6. Step 6: Final answer
    x = 78,439.94

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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.