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Finding the Fourth Proportional to 153,307, 211,531.80 and 89,632.48

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Solution

The fourth proportional to 153,307, 211,531.80 and 89,632.48 is: 123,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,307 : 211,531.80 = 89,632.48 : x
  2. Step 2: Convert to fraction form
    153,307/211,531.80 = 89,632.48/x
  3. Step 3: Cross multiply
    153,307x = 211,531.80 × 89,632.48
  4. Step 4: Simplify right side
    153,307x = 18,960,119,832.86
  5. Step 5: Solve for x
    x = 18,960,119,832.86/153,307
  6. Step 6: Final answer
    x = 123,674.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.