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Finding the Fourth Proportional to 157,186.96, 216,893.64 and 90,106

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Solution

The fourth proportional to 157,186.96, 216,893.64 and 90,106 is: 124,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,186.96 : 216,893.64 = 90,106 : x
  2. Step 2: Convert to fraction form
    157,186.96/216,893.64 = 90,106/x
  3. Step 3: Cross multiply
    157,186.96x = 216,893.64 × 90,106
  4. Step 4: Simplify right side
    157,186.96x = 19,543,418,325.84
  5. Step 5: Solve for x
    x = 19,543,418,325.84/157,186.96
  6. Step 6: Final answer
    x = 124,332.31

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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.