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Finding the Fourth Proportional to 357,159.90, 535,742.82 and 90,920.46

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Solution

The fourth proportional to 357,159.90, 535,742.82 and 90,920.46 is: 136,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,159.90 : 535,742.82 = 90,920.46 : x
  2. Step 2: Convert to fraction form
    357,159.90/535,742.82 = 90,920.46/x
  3. Step 3: Cross multiply
    357,159.90x = 535,742.82 × 90,920.46
  4. Step 4: Simplify right side
    357,159.90x = 48,709,983,636.10
  5. Step 5: Solve for x
    x = 48,709,983,636.10/357,159.90
  6. Step 6: Final answer
    x = 136,381.45

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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.