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Finding the Fourth Proportional to 153,776, 212,211.20 and 86,710.40

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Solution

The fourth proportional to 153,776, 212,211.20 and 86,710.40 is: 119,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,776 : 212,211.20 = 86,710.40 : x
  2. Step 2: Convert to fraction form
    153,776/212,211.20 = 86,710.40/x
  3. Step 3: Cross multiply
    153,776x = 212,211.20 × 86,710.40
  4. Step 4: Simplify right side
    153,776x = 18,400,918,036.48
  5. Step 5: Solve for x
    x = 18,400,918,036.48/153,776
  6. Step 6: Final answer
    x = 119,660.53

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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.