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Finding the Fourth Proportional to 78,535.47, 117,802.65 and 31,787.67

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Solution

The fourth proportional to 78,535.47, 117,802.65 and 31,787.67 is: 47,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,535.47 : 117,802.65 = 31,787.67 : x
  2. Step 2: Convert to fraction form
    78,535.47/117,802.65 = 31,787.67/x
  3. Step 3: Cross multiply
    78,535.47x = 117,802.65 × 31,787.67
  4. Step 4: Simplify right side
    78,535.47x = 3,744,671,763.33
  5. Step 5: Solve for x
    x = 3,744,671,763.33/78,535.47
  6. Step 6: Final answer
    x = 47,681.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.