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Finding the Fourth Proportional to 142,603.71, 196,792.80 and 85,240.26

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Solution

The fourth proportional to 142,603.71, 196,792.80 and 85,240.26 is: 117,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.71 : 196,792.80 = 85,240.26 : x
  2. Step 2: Convert to fraction form
    142,603.71/196,792.80 = 85,240.26/x
  3. Step 3: Cross multiply
    142,603.71x = 196,792.80 × 85,240.26
  4. Step 4: Simplify right side
    142,603.71x = 16,774,669,438.13
  5. Step 5: Solve for x
    x = 16,774,669,438.13/142,603.71
  6. Step 6: Final answer
    x = 117,631.37

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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.