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Finding the Fourth Proportional to 70,492.47, 105,766.40 and 31,021.91

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Solution

The fourth proportional to 70,492.47, 105,766.40 and 31,021.91 is: 46,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.47 : 105,766.40 = 31,021.91 : x
  2. Step 2: Convert to fraction form
    70,492.47/105,766.40 = 31,021.91/x
  3. Step 3: Cross multiply
    70,492.47x = 105,766.40 × 31,021.91
  4. Step 4: Simplify right side
    70,492.47x = 3,281,075,057.88
  5. Step 5: Solve for x
    x = 3,281,075,057.88/70,492.47
  6. Step 6: Final answer
    x = 46,545.04

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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.