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Finding the Fourth Proportional to 157,656.75, 217,570.91 and 86,041.35

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Solution

The fourth proportional to 157,656.75, 217,570.91 and 86,041.35 is: 118,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,656.75 : 217,570.91 = 86,041.35 : x
  2. Step 2: Convert to fraction form
    157,656.75/217,570.91 = 86,041.35/x
  3. Step 3: Cross multiply
    157,656.75x = 217,570.91 × 86,041.35
  4. Step 4: Simplify right side
    157,656.75x = 18,720,094,386.92
  5. Step 5: Solve for x
    x = 18,720,094,386.92/157,656.75
  6. Step 6: Final answer
    x = 118,739.57

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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.