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Finding the Fourth Proportional to 155,280.78, 232,970.40 and 55,438.80

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Solution

The fourth proportional to 155,280.78, 232,970.40 and 55,438.80 is: 83,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280.78 : 232,970.40 = 55,438.80 : x
  2. Step 2: Convert to fraction form
    155,280.78/232,970.40 = 55,438.80/x
  3. Step 3: Cross multiply
    155,280.78x = 232,970.40 × 55,438.80
  4. Step 4: Simplify right side
    155,280.78x = 12,915,599,411.52
  5. Step 5: Solve for x
    x = 12,915,599,411.52/155,280.78
  6. Step 6: Final answer
    x = 83,175.78

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1.5x scale

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.