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Finding the Fourth Proportional to 78,466.98, 117,484.80 and 54,798.18

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Solution

The fourth proportional to 78,466.98, 117,484.80 and 54,798.18 is: 82,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.98 : 117,484.80 = 54,798.18 : x
  2. Step 2: Convert to fraction form
    78,466.98/117,484.80 = 54,798.18/x
  3. Step 3: Cross multiply
    78,466.98x = 117,484.80 × 54,798.18
  4. Step 4: Simplify right side
    78,466.98x = 6,437,953,217.66
  5. Step 5: Solve for x
    x = 6,437,953,217.66/78,466.98
  6. Step 6: Final answer
    x = 82,046.65

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1.5x scale

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.