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Finding the Fourth Proportional to 105,307.84, 145,230.72 and 87,374.44

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Solution

The fourth proportional to 105,307.84, 145,230.72 and 87,374.44 is: 120,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307.84 : 145,230.72 = 87,374.44 : x
  2. Step 2: Convert to fraction form
    105,307.84/145,230.72 = 87,374.44/x
  3. Step 3: Cross multiply
    105,307.84x = 145,230.72 × 87,374.44
  4. Step 4: Simplify right side
    105,307.84x = 12,689,452,830.80
  5. Step 5: Solve for x
    x = 12,689,452,830.80/105,307.84
  6. Step 6: Final answer
    x = 120,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.