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Finding the Fourth Proportional to 238,632, 357,950.16 and 72,420

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Solution

The fourth proportional to 238,632, 357,950.16 and 72,420 is: 108,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,632 : 357,950.16 = 72,420 : x
  2. Step 2: Convert to fraction form
    238,632/357,950.16 = 72,420/x
  3. Step 3: Cross multiply
    238,632x = 357,950.16 × 72,420
  4. Step 4: Simplify right side
    238,632x = 25,922,750,587.20
  5. Step 5: Solve for x
    x = 25,922,750,587.20/238,632
  6. Step 6: Final answer
    x = 108,630.66

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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.