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Finding the Fourth Proportional to 65,670.16, 90,624.36 and 35,862.16

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Solution

The fourth proportional to 65,670.16, 90,624.36 and 35,862.16 is: 49,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670.16 : 90,624.36 = 35,862.16 : x
  2. Step 2: Convert to fraction form
    65,670.16/90,624.36 = 35,862.16/x
  3. Step 3: Cross multiply
    65,670.16x = 90,624.36 × 35,862.16
  4. Step 4: Simplify right side
    65,670.16x = 3,249,985,298.22
  5. Step 5: Solve for x
    x = 3,249,985,298.22/65,670.16
  6. Step 6: Final answer
    x = 49,489.53

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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.