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Finding the Fourth Proportional to 156,623, 216,319.18 and 103,147

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Solution

The fourth proportional to 156,623, 216,319.18 and 103,147 is: 142,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,623 : 216,319.18 = 103,147 : x
  2. Step 2: Convert to fraction form
    156,623/216,319.18 = 103,147/x
  3. Step 3: Cross multiply
    156,623x = 216,319.18 × 103,147
  4. Step 4: Simplify right side
    156,623x = 22,312,674,459.46
  5. Step 5: Solve for x
    x = 22,312,674,459.46/156,623
  6. Step 6: Final answer
    x = 142,461.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.