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Finding the Fourth Proportional to 210,471.35, 315,831.57 and 77,445.02

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Solution

The fourth proportional to 210,471.35, 315,831.57 and 77,445.02 is: 116,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.35 : 315,831.57 = 77,445.02 : x
  2. Step 2: Convert to fraction form
    210,471.35/315,831.57 = 77,445.02/x
  3. Step 3: Cross multiply
    210,471.35x = 315,831.57 × 77,445.02
  4. Step 4: Simplify right side
    210,471.35x = 24,459,580,676.12
  5. Step 5: Solve for x
    x = 24,459,580,676.12/210,471.35
  6. Step 6: Final answer
    x = 116,213.35

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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.