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Finding the Fourth Proportional to 78,290.42, 117,455.06 and 22,886.42

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Solution

The fourth proportional to 78,290.42, 117,455.06 and 22,886.42 is: 34,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290.42 : 117,455.06 = 22,886.42 : x
  2. Step 2: Convert to fraction form
    78,290.42/117,455.06 = 22,886.42/x
  3. Step 3: Cross multiply
    78,290.42x = 117,455.06 × 22,886.42
  4. Step 4: Simplify right side
    78,290.42x = 2,688,125,304.23
  5. Step 5: Solve for x
    x = 2,688,125,304.23/78,290.42
  6. Step 6: Final answer
    x = 34,335.31

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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.