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Finding the Fourth Proportional to 152,005.64, 209,767.14 and 84,937.64

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Solution

The fourth proportional to 152,005.64, 209,767.14 and 84,937.64 is: 117,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005.64 : 209,767.14 = 84,937.64 : x
  2. Step 2: Convert to fraction form
    152,005.64/209,767.14 = 84,937.64/x
  3. Step 3: Cross multiply
    152,005.64x = 209,767.14 × 84,937.64
  4. Step 4: Simplify right side
    152,005.64x = 17,817,125,821.15
  5. Step 5: Solve for x
    x = 17,817,125,821.15/152,005.64
  6. Step 6: Final answer
    x = 117,213.58

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1.5x scale

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.