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Finding the Fourth Proportional to 152,034, 209,813.40 and 84,966

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Solution

The fourth proportional to 152,034, 209,813.40 and 84,966 is: 117,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034 : 209,813.40 = 84,966 : x
  2. Step 2: Convert to fraction form
    152,034/209,813.40 = 84,966/x
  3. Step 3: Cross multiply
    152,034x = 209,813.40 × 84,966
  4. Step 4: Simplify right side
    152,034x = 17,827,005,344.40
  5. Step 5: Solve for x
    x = 17,827,005,344.40/152,034
  6. Step 6: Final answer
    x = 117,256.70

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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.