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Finding the Fourth Proportional to 70,486.86, 105,705.68 and 28,356

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Solution

The fourth proportional to 70,486.86, 105,705.68 and 28,356 is: 42,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.86 : 105,705.68 = 28,356 : x
  2. Step 2: Convert to fraction form
    70,486.86/105,705.68 = 28,356/x
  3. Step 3: Cross multiply
    70,486.86x = 105,705.68 × 28,356
  4. Step 4: Simplify right side
    70,486.86x = 2,997,390,262.08
  5. Step 5: Solve for x
    x = 2,997,390,262.08/70,486.86
  6. Step 6: Final answer
    x = 42,524.10

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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.