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Finding the Fourth Proportional to 315,142.60, 472,641.80 and 90,501.24

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Solution

The fourth proportional to 315,142.60, 472,641.80 and 90,501.24 is: 135,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,142.60 : 472,641.80 = 90,501.24 : x
  2. Step 2: Convert to fraction form
    315,142.60/472,641.80 = 90,501.24/x
  3. Step 3: Cross multiply
    315,142.60x = 472,641.80 × 90,501.24
  4. Step 4: Simplify right side
    315,142.60x = 42,774,668,975.83
  5. Step 5: Solve for x
    x = 42,774,668,975.83/315,142.60
  6. Step 6: Final answer
    x = 135,731.15

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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.