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Finding the Fourth Proportional to 65,019.16, 97,532.10 and 20,649.40

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Solution

The fourth proportional to 65,019.16, 97,532.10 and 20,649.40 is: 30,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019.16 : 97,532.10 = 20,649.40 : x
  2. Step 2: Convert to fraction form
    65,019.16/97,532.10 = 20,649.40/x
  3. Step 3: Cross multiply
    65,019.16x = 97,532.10 × 20,649.40
  4. Step 4: Simplify right side
    65,019.16x = 2,013,979,345.74
  5. Step 5: Solve for x
    x = 2,013,979,345.74/65,019.16
  6. Step 6: Final answer
    x = 30,975.17

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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.