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Finding the Fourth Proportional to 65,818, 90,831.04 and 36,010

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Solution

The fourth proportional to 65,818, 90,831.04 and 36,010 is: 49,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818 : 90,831.04 = 36,010 : x
  2. Step 2: Convert to fraction form
    65,818/90,831.04 = 36,010/x
  3. Step 3: Cross multiply
    65,818x = 90,831.04 × 36,010
  4. Step 4: Simplify right side
    65,818x = 3,270,825,750.40
  5. Step 5: Solve for x
    x = 3,270,825,750.40/65,818
  6. Step 6: Final answer
    x = 49,695.00

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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.