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Finding the Fourth Proportional to 65,461.50, 90,347.40 and 37,184.40

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Solution

The fourth proportional to 65,461.50, 90,347.40 and 37,184.40 is: 51,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461.50 : 90,347.40 = 37,184.40 : x
  2. Step 2: Convert to fraction form
    65,461.50/90,347.40 = 37,184.40/x
  3. Step 3: Cross multiply
    65,461.50x = 90,347.40 × 37,184.40
  4. Step 4: Simplify right side
    65,461.50x = 3,359,513,860.56
  5. Step 5: Solve for x
    x = 3,359,513,860.56/65,461.50
  6. Step 6: Final answer
    x = 51,320.45

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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.