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Finding the Fourth Proportional to 83,409.90, 115,113.95 and 47,605.34

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Solution

The fourth proportional to 83,409.90, 115,113.95 and 47,605.34 is: 65,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.90 : 115,113.95 = 47,605.34 : x
  2. Step 2: Convert to fraction form
    83,409.90/115,113.95 = 47,605.34/x
  3. Step 3: Cross multiply
    83,409.90x = 115,113.95 × 47,605.34
  4. Step 4: Simplify right side
    83,409.90x = 5,480,038,728.49
  5. Step 5: Solve for x
    x = 5,480,038,728.49/83,409.90
  6. Step 6: Final answer
    x = 65,700.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.