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Finding the Fourth Proportional to 65,709, 90,678.54 and 35,901

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Solution

The fourth proportional to 65,709, 90,678.54 and 35,901 is: 49,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709 : 90,678.54 = 35,901 : x
  2. Step 2: Convert to fraction form
    65,709/90,678.54 = 35,901/x
  3. Step 3: Cross multiply
    65,709x = 90,678.54 × 35,901
  4. Step 4: Simplify right side
    65,709x = 3,255,450,264.54
  5. Step 5: Solve for x
    x = 3,255,450,264.54/65,709
  6. Step 6: Final answer
    x = 49,543.45

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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.