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Finding the Fourth Proportional to 153,708, 212,117.04 and 86,640

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Solution

The fourth proportional to 153,708, 212,117.04 and 86,640 is: 119,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,708 : 212,117.04 = 86,640 : x
  2. Step 2: Convert to fraction form
    153,708/212,117.04 = 86,640/x
  3. Step 3: Cross multiply
    153,708x = 212,117.04 × 86,640
  4. Step 4: Simplify right side
    153,708x = 18,377,820,345.60
  5. Step 5: Solve for x
    x = 18,377,820,345.60/153,708
  6. Step 6: Final answer
    x = 119,563.20

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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.