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Finding the Fourth Proportional to 152,897.88, 211,006.08 and 84,915.16

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Solution

The fourth proportional to 152,897.88, 211,006.08 and 84,915.16 is: 117,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,897.88 : 211,006.08 = 84,915.16 : x
  2. Step 2: Convert to fraction form
    152,897.88/211,006.08 = 84,915.16/x
  3. Step 3: Cross multiply
    152,897.88x = 211,006.08 × 84,915.16
  4. Step 4: Simplify right side
    152,897.88x = 17,917,615,044.17
  5. Step 5: Solve for x
    x = 17,917,615,044.17/152,897.88
  6. Step 6: Final answer
    x = 117,186.81

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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.