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Finding the Fourth Proportional to 157,875.84, 217,868.40 and 86,255.84

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Solution

The fourth proportional to 157,875.84, 217,868.40 and 86,255.84 is: 119,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875.84 : 217,868.40 = 86,255.84 : x
  2. Step 2: Convert to fraction form
    157,875.84/217,868.40 = 86,255.84/x
  3. Step 3: Cross multiply
    157,875.84x = 217,868.40 × 86,255.84
  4. Step 4: Simplify right side
    157,875.84x = 18,792,422,396.13
  5. Step 5: Solve for x
    x = 18,792,422,396.13/157,875.84
  6. Step 6: Final answer
    x = 119,032.92

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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.