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Finding the Fourth Proportional to 153,473.72, 211,785.46 and 84,560.90

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Solution

The fourth proportional to 153,473.72, 211,785.46 and 84,560.90 is: 116,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,473.72 : 211,785.46 = 84,560.90 : x
  2. Step 2: Convert to fraction form
    153,473.72/211,785.46 = 84,560.90/x
  3. Step 3: Cross multiply
    153,473.72x = 211,785.46 × 84,560.90
  4. Step 4: Simplify right side
    153,473.72x = 17,908,767,834.18
  5. Step 5: Solve for x
    x = 17,908,767,834.18/153,473.72
  6. Step 6: Final answer
    x = 116,689.48

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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.