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Finding the Fourth Proportional to 155,280.80, 233,023.60 and 56,784.80

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Solution

The fourth proportional to 155,280.80, 233,023.60 and 56,784.80 is: 85,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280.80 : 233,023.60 = 56,784.80 : x
  2. Step 2: Convert to fraction form
    155,280.80/233,023.60 = 56,784.80/x
  3. Step 3: Cross multiply
    155,280.80x = 233,023.60 × 56,784.80
  4. Step 4: Simplify right side
    155,280.80x = 13,232,198,521.28
  5. Step 5: Solve for x
    x = 13,232,198,521.28/155,280.80
  6. Step 6: Final answer
    x = 85,214.65

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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.