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Finding the Fourth Proportional to 113,874.89, 157,212.93 and 75,686.22

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Solution

The fourth proportional to 113,874.89, 157,212.93 and 75,686.22 is: 104,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874.89 : 157,212.93 = 75,686.22 : x
  2. Step 2: Convert to fraction form
    113,874.89/157,212.93 = 75,686.22/x
  3. Step 3: Cross multiply
    113,874.89x = 157,212.93 × 75,686.22
  4. Step 4: Simplify right side
    113,874.89x = 11,898,852,406.82
  5. Step 5: Solve for x
    x = 11,898,852,406.82/113,874.89
  6. Step 6: Final answer
    x = 104,490.58

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1.5x scale

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.