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Finding the Fourth Proportional to 70,488.86, 105,708.68 and 28,358

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Solution

The fourth proportional to 70,488.86, 105,708.68 and 28,358 is: 42,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488.86 : 105,708.68 = 28,358 : x
  2. Step 2: Convert to fraction form
    70,488.86/105,708.68 = 28,358/x
  3. Step 3: Cross multiply
    70,488.86x = 105,708.68 × 28,358
  4. Step 4: Simplify right side
    70,488.86x = 2,997,686,747.44
  5. Step 5: Solve for x
    x = 2,997,686,747.44/70,488.86
  6. Step 6: Final answer
    x = 42,527.10

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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.