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Finding the Fourth Proportional to 157,088.61, 216,786.87 and 85,473.18

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Solution

The fourth proportional to 157,088.61, 216,786.87 and 85,473.18 is: 117,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,088.61 : 216,786.87 = 85,473.18 : x
  2. Step 2: Convert to fraction form
    157,088.61/216,786.87 = 85,473.18/x
  3. Step 3: Cross multiply
    157,088.61x = 216,786.87 × 85,473.18
  4. Step 4: Simplify right side
    157,088.61x = 18,529,463,161.15
  5. Step 5: Solve for x
    x = 18,529,463,161.15/157,088.61
  6. Step 6: Final answer
    x = 117,955.48

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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.