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Finding the Fourth Proportional to 247,840.98, 342,037.47 and 140,411.90

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Solution

The fourth proportional to 247,840.98, 342,037.47 and 140,411.90 is: 193,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,840.98 : 342,037.47 = 140,411.90 : x
  2. Step 2: Convert to fraction form
    247,840.98/342,037.47 = 140,411.90/x
  3. Step 3: Cross multiply
    247,840.98x = 342,037.47 × 140,411.90
  4. Step 4: Simplify right side
    247,840.98x = 48,026,129,323.71
  5. Step 5: Solve for x
    x = 48,026,129,323.71/247,840.98
  6. Step 6: Final answer
    x = 193,778.00

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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.