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Finding the Fourth Proportional to 153,710, 212,119.80 and 86,642

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Solution

The fourth proportional to 153,710, 212,119.80 and 86,642 is: 119,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,710 : 212,119.80 = 86,642 : x
  2. Step 2: Convert to fraction form
    153,710/212,119.80 = 86,642/x
  3. Step 3: Cross multiply
    153,710x = 212,119.80 × 86,642
  4. Step 4: Simplify right side
    153,710x = 18,378,483,711.60
  5. Step 5: Solve for x
    x = 18,378,483,711.60/153,710
  6. Step 6: Final answer
    x = 119,565.96

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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.