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Finding the Fourth Proportional to 105,231.20, 157,712.40 and 42,831.20

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Solution

The fourth proportional to 105,231.20, 157,712.40 and 42,831.20 is: 64,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,231.20 : 157,712.40 = 42,831.20 : x
  2. Step 2: Convert to fraction form
    105,231.20/157,712.40 = 42,831.20/x
  3. Step 3: Cross multiply
    105,231.20x = 157,712.40 × 42,831.20
  4. Step 4: Simplify right side
    105,231.20x = 6,755,011,346.88
  5. Step 5: Solve for x
    x = 6,755,011,346.88/105,231.20
  6. Step 6: Final answer
    x = 64,192.10

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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.