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Finding the Fourth Proportional to 161,887.80, 242,831.70 and 152,038.20

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Solution

The fourth proportional to 161,887.80, 242,831.70 and 152,038.20 is: 228,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,887.80 : 242,831.70 = 152,038.20 : x
  2. Step 2: Convert to fraction form
    161,887.80/242,831.70 = 152,038.20/x
  3. Step 3: Cross multiply
    161,887.80x = 242,831.70 × 152,038.20
  4. Step 4: Simplify right side
    161,887.80x = 36,919,694,570.94
  5. Step 5: Solve for x
    x = 36,919,694,570.94/161,887.80
  6. Step 6: Final answer
    x = 228,057.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.