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Finding the Fourth Proportional to 116,416, 160,613.76 and 65,421.76

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Solution

The fourth proportional to 116,416, 160,613.76 and 65,421.76 is: 90,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416 : 160,613.76 = 65,421.76 : x
  2. Step 2: Convert to fraction form
    116,416/160,613.76 = 65,421.76/x
  3. Step 3: Cross multiply
    116,416x = 160,613.76 × 65,421.76
  4. Step 4: Simplify right side
    116,416x = 10,507,634,859.42
  5. Step 5: Solve for x
    x = 10,507,634,859.42/116,416
  6. Step 6: Final answer
    x = 90,259.37

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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.