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Finding the Fourth Proportional to 228,073.23, 342,011.88 and 78,328.53

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Solution

The fourth proportional to 228,073.23, 342,011.88 and 78,328.53 is: 117,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,073.23 : 342,011.88 = 78,328.53 : x
  2. Step 2: Convert to fraction form
    228,073.23/342,011.88 = 78,328.53/x
  3. Step 3: Cross multiply
    228,073.23x = 342,011.88 × 78,328.53
  4. Step 4: Simplify right side
    228,073.23x = 26,789,287,802.94
  5. Step 5: Solve for x
    x = 26,789,287,802.94/228,073.23
  6. Step 6: Final answer
    x = 117,459.15

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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.