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Finding the Fourth Proportional to 52,289, 72,159.46 and 28,416.08

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Solution

The fourth proportional to 52,289, 72,159.46 and 28,416.08 is: 39,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,289 : 72,159.46 = 28,416.08 : x
  2. Step 2: Convert to fraction form
    52,289/72,159.46 = 28,416.08/x
  3. Step 3: Cross multiply
    52,289x = 72,159.46 × 28,416.08
  4. Step 4: Simplify right side
    52,289x = 2,050,488,988.12
  5. Step 5: Solve for x
    x = 2,050,488,988.12/52,289
  6. Step 6: Final answer
    x = 39,214.54

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1.5x scale

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.