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Finding the Fourth Proportional to 78,816.80, 118,030.80 and 52,378.40

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Solution

The fourth proportional to 78,816.80, 118,030.80 and 52,378.40 is: 78,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,816.80 : 118,030.80 = 52,378.40 : x
  2. Step 2: Convert to fraction form
    78,816.80/118,030.80 = 52,378.40/x
  3. Step 3: Cross multiply
    78,816.80x = 118,030.80 × 52,378.40
  4. Step 4: Simplify right side
    78,816.80x = 6,182,264,454.72
  5. Step 5: Solve for x
    x = 6,182,264,454.72/78,816.80
  6. Step 6: Final answer
    x = 78,438.41

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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.