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Finding the Fourth Proportional to 157,686.89, 217,656.18 and 97,276.37

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Solution

The fourth proportional to 157,686.89, 217,656.18 and 97,276.37 is: 134,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,686.89 : 217,656.18 = 97,276.37 : x
  2. Step 2: Convert to fraction form
    157,686.89/217,656.18 = 97,276.37/x
  3. Step 3: Cross multiply
    157,686.89x = 217,656.18 × 97,276.37
  4. Step 4: Simplify right side
    157,686.89x = 21,172,802,010.19
  5. Step 5: Solve for x
    x = 21,172,802,010.19/157,686.89
  6. Step 6: Final answer
    x = 134,271.17

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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.