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Finding the Fourth Proportional to 357,869.34, 536,804.01 and 121,378.10

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Solution

The fourth proportional to 357,869.34, 536,804.01 and 121,378.10 is: 182,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,869.34 : 536,804.01 = 121,378.10 : x
  2. Step 2: Convert to fraction form
    357,869.34/536,804.01 = 121,378.10/x
  3. Step 3: Cross multiply
    357,869.34x = 536,804.01 × 121,378.10
  4. Step 4: Simplify right side
    357,869.34x = 65,156,248,122.16
  5. Step 5: Solve for x
    x = 65,156,248,122.16/357,869.34
  6. Step 6: Final answer
    x = 182,067.14

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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.