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Finding the Fourth Proportional to 78,222.71, 117,263.90 and 28,291.07

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Solution

The fourth proportional to 78,222.71, 117,263.90 and 28,291.07 is: 42,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.71 : 117,263.90 = 28,291.07 : x
  2. Step 2: Convert to fraction form
    78,222.71/117,263.90 = 28,291.07/x
  3. Step 3: Cross multiply
    78,222.71x = 117,263.90 × 28,291.07
  4. Step 4: Simplify right side
    78,222.71x = 3,317,521,567.26
  5. Step 5: Solve for x
    x = 3,317,521,567.26/78,222.71
  6. Step 6: Final answer
    x = 42,411.23

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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.