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Finding the Fourth Proportional to 109,641.70, 164,462.55 and 47,312.20

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Solution

The fourth proportional to 109,641.70, 164,462.55 and 47,312.20 is: 70,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,641.70 : 164,462.55 = 47,312.20 : x
  2. Step 2: Convert to fraction form
    109,641.70/164,462.55 = 47,312.20/x
  3. Step 3: Cross multiply
    109,641.70x = 164,462.55 × 47,312.20
  4. Step 4: Simplify right side
    109,641.70x = 7,781,085,058.11
  5. Step 5: Solve for x
    x = 7,781,085,058.11/109,641.70
  6. Step 6: Final answer
    x = 70,968.30

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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.