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Finding the Fourth Proportional to 245,009.64, 367,281.18 and 78,681

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Solution

The fourth proportional to 245,009.64, 367,281.18 and 78,681 is: 117,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,009.64 : 367,281.18 = 78,681 : x
  2. Step 2: Convert to fraction form
    245,009.64/367,281.18 = 78,681/x
  3. Step 3: Cross multiply
    245,009.64x = 367,281.18 × 78,681
  4. Step 4: Simplify right side
    245,009.64x = 28,898,050,523.58
  5. Step 5: Solve for x
    x = 28,898,050,523.58/245,009.64
  6. Step 6: Final answer
    x = 117,946.59

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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.