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Finding the Fourth Proportional to 228,492.90, 342,772.16 and 78,693.12

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Solution

The fourth proportional to 228,492.90, 342,772.16 and 78,693.12 is: 118,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,492.90 : 342,772.16 = 78,693.12 : x
  2. Step 2: Convert to fraction form
    228,492.90/342,772.16 = 78,693.12/x
  3. Step 3: Cross multiply
    228,492.90x = 342,772.16 × 78,693.12
  4. Step 4: Simplify right side
    228,492.90x = 26,973,810,326.07
  5. Step 5: Solve for x
    x = 26,973,810,326.07/228,492.90
  6. Step 6: Final answer
    x = 118,050.98

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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.