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Finding the Fourth Proportional to 357,390.09, 535,966.11 and 144,102.87

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Solution

The fourth proportional to 357,390.09, 535,966.11 and 144,102.87 is: 216,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,390.09 : 535,966.11 = 144,102.87 : x
  2. Step 2: Convert to fraction form
    357,390.09/535,966.11 = 144,102.87/x
  3. Step 3: Cross multiply
    357,390.09x = 535,966.11 × 144,102.87
  4. Step 4: Simplify right side
    357,390.09x = 77,234,254,673.74
  5. Step 5: Solve for x
    x = 77,234,254,673.74/357,390.09
  6. Step 6: Final answer
    x = 216,106.31

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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.