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Finding the Fourth Proportional to 77,155.34, 115,613.33 and 53,509.01

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Solution

The fourth proportional to 77,155.34, 115,613.33 and 53,509.01 is: 80,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,155.34 : 115,613.33 = 53,509.01 : x
  2. Step 2: Convert to fraction form
    77,155.34/115,613.33 = 53,509.01/x
  3. Step 3: Cross multiply
    77,155.34x = 115,613.33 × 53,509.01
  4. Step 4: Simplify right side
    77,155.34x = 6,186,353,985.49
  5. Step 5: Solve for x
    x = 6,186,353,985.49/77,155.34
  6. Step 6: Final answer
    x = 80,180.51

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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.