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Finding the Fourth Proportional to 70,374.86, 105,562.98 and 17,784.35

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Solution

The fourth proportional to 70,374.86, 105,562.98 and 17,784.35 is: 26,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,374.86 : 105,562.98 = 17,784.35 : x
  2. Step 2: Convert to fraction form
    70,374.86/105,562.98 = 17,784.35/x
  3. Step 3: Cross multiply
    70,374.86x = 105,562.98 × 17,784.35
  4. Step 4: Simplify right side
    70,374.86x = 1,877,368,983.36
  5. Step 5: Solve for x
    x = 1,877,368,983.36/70,374.86
  6. Step 6: Final answer
    x = 26,676.70

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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.