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Finding the Fourth Proportional to 157,704, 217,574.46 and 121,416.48

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Solution

The fourth proportional to 157,704, 217,574.46 and 121,416.48 is: 167,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,704 : 217,574.46 = 121,416.48 : x
  2. Step 2: Convert to fraction form
    157,704/217,574.46 = 121,416.48/x
  3. Step 3: Cross multiply
    157,704x = 217,574.46 × 121,416.48
  4. Step 4: Simplify right side
    157,704x = 26,417,125,071.10
  5. Step 5: Solve for x
    x = 26,417,125,071.10/157,704
  6. Step 6: Final answer
    x = 167,510.81

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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.