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Finding the Fourth Proportional to 152,557.60, 228,879.60 and 47,387.20

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Solution

The fourth proportional to 152,557.60, 228,879.60 and 47,387.20 is: 71,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,557.60 : 228,879.60 = 47,387.20 : x
  2. Step 2: Convert to fraction form
    152,557.60/228,879.60 = 47,387.20/x
  3. Step 3: Cross multiply
    152,557.60x = 228,879.60 × 47,387.20
  4. Step 4: Simplify right side
    152,557.60x = 10,845,963,381.12
  5. Step 5: Solve for x
    x = 10,845,963,381.12/152,557.60
  6. Step 6: Final answer
    x = 71,094.22

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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.