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Finding the Fourth Proportional to 157,290.71, 217,061.51 and 85,670.51

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Solution

The fourth proportional to 157,290.71, 217,061.51 and 85,670.51 is: 118,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,290.71 : 217,061.51 = 85,670.51 : x
  2. Step 2: Convert to fraction form
    157,290.71/217,061.51 = 85,670.51/x
  3. Step 3: Cross multiply
    157,290.71x = 217,061.51 × 85,670.51
  4. Step 4: Simplify right side
    157,290.71x = 18,595,768,749.41
  5. Step 5: Solve for x
    x = 18,595,768,749.41/157,290.71
  6. Step 6: Final answer
    x = 118,225.48

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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.