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Finding the Fourth Proportional to 358,138.68, 537,023.15 and 105,386.32

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Solution

The fourth proportional to 358,138.68, 537,023.15 and 105,386.32 is: 158,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,138.68 : 537,023.15 = 105,386.32 : x
  2. Step 2: Convert to fraction form
    358,138.68/537,023.15 = 105,386.32/x
  3. Step 3: Cross multiply
    358,138.68x = 537,023.15 × 105,386.32
  4. Step 4: Simplify right side
    358,138.68x = 56,594,892,528.97
  5. Step 5: Solve for x
    x = 56,594,892,528.97/358,138.68
  6. Step 6: Final answer
    x = 158,025.08

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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.