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Finding the Fourth Proportional to 157,981.64, 218,014.76 and 86,361.68

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Solution

The fourth proportional to 157,981.64, 218,014.76 and 86,361.68 is: 119,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,981.64 : 218,014.76 = 86,361.68 : x
  2. Step 2: Convert to fraction form
    157,981.64/218,014.76 = 86,361.68/x
  3. Step 3: Cross multiply
    157,981.64x = 218,014.76 × 86,361.68
  4. Step 4: Simplify right side
    157,981.64x = 18,828,121,699.34
  5. Step 5: Solve for x
    x = 18,828,121,699.34/157,981.64
  6. Step 6: Final answer
    x = 119,179.18

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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.