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Finding the Fourth Proportional to 78,210, 108,018.90 and 53,015.76

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Solution

The fourth proportional to 78,210, 108,018.90 and 53,015.76 is: 73,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210 : 108,018.90 = 53,015.76 : x
  2. Step 2: Convert to fraction form
    78,210/108,018.90 = 53,015.76/x
  3. Step 3: Cross multiply
    78,210x = 108,018.90 × 53,015.76
  4. Step 4: Simplify right side
    78,210x = 5,726,704,077.86
  5. Step 5: Solve for x
    x = 5,726,704,077.86/78,210
  6. Step 6: Final answer
    x = 73,222.15

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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.