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Finding the Fourth Proportional to 72,803.16, 100,459.14 and 42,582.54

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Solution

The fourth proportional to 72,803.16, 100,459.14 and 42,582.54 is: 58,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,803.16 : 100,459.14 = 42,582.54 : x
  2. Step 2: Convert to fraction form
    72,803.16/100,459.14 = 42,582.54/x
  3. Step 3: Cross multiply
    72,803.16x = 100,459.14 × 42,582.54
  4. Step 4: Simplify right side
    72,803.16x = 4,277,805,347.42
  5. Step 5: Solve for x
    x = 4,277,805,347.42/72,803.16
  6. Step 6: Final answer
    x = 58,758.51

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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.