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Finding the Fourth Proportional to 288,699.48, 432,941.46 and 99,106.14

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Solution

The fourth proportional to 288,699.48, 432,941.46 and 99,106.14 is: 148,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,699.48 : 432,941.46 = 99,106.14 : x
  2. Step 2: Convert to fraction form
    288,699.48/432,941.46 = 99,106.14/x
  3. Step 3: Cross multiply
    288,699.48x = 432,941.46 × 99,106.14
  4. Step 4: Simplify right side
    288,699.48x = 42,907,156,946.56
  5. Step 5: Solve for x
    x = 42,907,156,946.56/288,699.48
  6. Step 6: Final answer
    x = 148,622.22

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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.