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Finding the Fourth Proportional to 156,710, 216,259.80 and 89,642

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Solution

The fourth proportional to 156,710, 216,259.80 and 89,642 is: 123,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,710 : 216,259.80 = 89,642 : x
  2. Step 2: Convert to fraction form
    156,710/216,259.80 = 89,642/x
  3. Step 3: Cross multiply
    156,710x = 216,259.80 × 89,642
  4. Step 4: Simplify right side
    156,710x = 19,385,960,991.60
  5. Step 5: Solve for x
    x = 19,385,960,991.60/156,710
  6. Step 6: Final answer
    x = 123,705.96

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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.