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Finding the Fourth Proportional to 289,070.80, 433,606.20 and 102,101.20

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Solution

The fourth proportional to 289,070.80, 433,606.20 and 102,101.20 is: 153,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,070.80 : 433,606.20 = 102,101.20 : x
  2. Step 2: Convert to fraction form
    289,070.80/433,606.20 = 102,101.20/x
  3. Step 3: Cross multiply
    289,070.80x = 433,606.20 × 102,101.20
  4. Step 4: Simplify right side
    289,070.80x = 44,271,713,347.44
  5. Step 5: Solve for x
    x = 44,271,713,347.44/289,070.80
  6. Step 6: Final answer
    x = 153,151.80

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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.