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Finding the Fourth Proportional to 153,708, 212,117.04 and 86,642.40

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Solution

The fourth proportional to 153,708, 212,117.04 and 86,642.40 is: 119,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,708 : 212,117.04 = 86,642.40 : x
  2. Step 2: Convert to fraction form
    153,708/212,117.04 = 86,642.40/x
  3. Step 3: Cross multiply
    153,708x = 212,117.04 × 86,642.40
  4. Step 4: Simplify right side
    153,708x = 18,378,329,426.50
  5. Step 5: Solve for x
    x = 18,378,329,426.50/153,708
  6. Step 6: Final answer
    x = 119,566.51

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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.