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Finding the Fourth Proportional to 230,802.35, 346,354.90 and 81,038.78

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Solution

The fourth proportional to 230,802.35, 346,354.90 and 81,038.78 is: 121,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,802.35 : 346,354.90 = 81,038.78 : x
  2. Step 2: Convert to fraction form
    230,802.35/346,354.90 = 81,038.78/x
  3. Step 3: Cross multiply
    230,802.35x = 346,354.90 × 81,038.78
  4. Step 4: Simplify right side
    230,802.35x = 28,068,178,543.02
  5. Step 5: Solve for x
    x = 28,068,178,543.02/230,802.35
  6. Step 6: Final answer
    x = 121,611.32

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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.