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Finding the Fourth Proportional to 65,700, 90,666.36 and 35,892

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Solution

The fourth proportional to 65,700, 90,666.36 and 35,892 is: 49,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,700 : 90,666.36 = 35,892 : x
  2. Step 2: Convert to fraction form
    65,700/90,666.36 = 35,892/x
  3. Step 3: Cross multiply
    65,700x = 90,666.36 × 35,892
  4. Step 4: Simplify right side
    65,700x = 3,254,196,993.12
  5. Step 5: Solve for x
    x = 3,254,196,993.12/65,700
  6. Step 6: Final answer
    x = 49,531.16

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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.