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Finding the Fourth Proportional to 88,384.50, 121,970.64 and 48,640.50

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Solution

The fourth proportional to 88,384.50, 121,970.64 and 48,640.50 is: 67,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,384.50 : 121,970.64 = 48,640.50 : x
  2. Step 2: Convert to fraction form
    88,384.50/121,970.64 = 48,640.50/x
  3. Step 3: Cross multiply
    88,384.50x = 121,970.64 × 48,640.50
  4. Step 4: Simplify right side
    88,384.50x = 5,932,712,914.92
  5. Step 5: Solve for x
    x = 5,932,712,914.92/88,384.50
  6. Step 6: Final answer
    x = 67,123.91

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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.