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Finding the Fourth Proportional to 223,115.68, 307,688.61 and 146,499.63

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Solution

The fourth proportional to 223,115.68, 307,688.61 and 146,499.63 is: 202,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,115.68 : 307,688.61 = 146,499.63 : x
  2. Step 2: Convert to fraction form
    223,115.68/307,688.61 = 146,499.63/x
  3. Step 3: Cross multiply
    223,115.68x = 307,688.61 × 146,499.63
  4. Step 4: Simplify right side
    223,115.68x = 45,076,267,520.21
  5. Step 5: Solve for x
    x = 45,076,267,520.21/223,115.68
  6. Step 6: Final answer
    x = 202,030.93

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1.5x scale

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.