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Finding the Fourth Proportional to 113,420.16, 170,130.24 and 30,312

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Solution

The fourth proportional to 113,420.16, 170,130.24 and 30,312 is: 45,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,420.16 : 170,130.24 = 30,312 : x
  2. Step 2: Convert to fraction form
    113,420.16/170,130.24 = 30,312/x
  3. Step 3: Cross multiply
    113,420.16x = 170,130.24 × 30,312
  4. Step 4: Simplify right side
    113,420.16x = 5,156,987,834.88
  5. Step 5: Solve for x
    x = 5,156,987,834.88/113,420.16
  6. Step 6: Final answer
    x = 45,468

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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.