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Finding the Fourth Proportional to 65,711.49, 90,683.70 and 37,031.40

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Solution

The fourth proportional to 65,711.49, 90,683.70 and 37,031.40 is: 51,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.49 : 90,683.70 = 37,031.40 : x
  2. Step 2: Convert to fraction form
    65,711.49/90,683.70 = 37,031.40/x
  3. Step 3: Cross multiply
    65,711.49x = 90,683.70 × 37,031.40
  4. Step 4: Simplify right side
    65,711.49x = 3,358,144,368.18
  5. Step 5: Solve for x
    x = 3,358,144,368.18/65,711.49
  6. Step 6: Final answer
    x = 51,104.37

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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.