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Finding the Fourth Proportional to 70,490.28, 105,710.94 and 28,357.86

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Solution

The fourth proportional to 70,490.28, 105,710.94 and 28,357.86 is: 42,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490.28 : 105,710.94 = 28,357.86 : x
  2. Step 2: Convert to fraction form
    70,490.28/105,710.94 = 28,357.86/x
  3. Step 3: Cross multiply
    70,490.28x = 105,710.94 × 28,357.86
  4. Step 4: Simplify right side
    70,490.28x = 2,997,736,036.99
  5. Step 5: Solve for x
    x = 2,997,736,036.99/70,490.28
  6. Step 6: Final answer
    x = 42,526.94

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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.