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Finding the Fourth Proportional to 342,830.90, 513,931.29 and 118,137.86

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Solution

The fourth proportional to 342,830.90, 513,931.29 and 118,137.86 is: 177,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,830.90 : 513,931.29 = 118,137.86 : x
  2. Step 2: Convert to fraction form
    342,830.90/513,931.29 = 118,137.86/x
  3. Step 3: Cross multiply
    342,830.90x = 513,931.29 × 118,137.86
  4. Step 4: Simplify right side
    342,830.90x = 60,714,742,787.64
  5. Step 5: Solve for x
    x = 60,714,742,787.64/342,830.90
  6. Step 6: Final answer
    x = 177,098.22

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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.