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Finding the Fourth Proportional to 223,678.72, 308,686.80 and 138,823.12

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Solution

The fourth proportional to 223,678.72, 308,686.80 and 138,823.12 is: 191,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,678.72 : 308,686.80 = 138,823.12 : x
  2. Step 2: Convert to fraction form
    223,678.72/308,686.80 = 138,823.12/x
  3. Step 3: Cross multiply
    223,678.72x = 308,686.80 × 138,823.12
  4. Step 4: Simplify right side
    223,678.72x = 42,852,864,678.82
  5. Step 5: Solve for x
    x = 42,852,864,678.82/223,678.72
  6. Step 6: Final answer
    x = 191,582.22

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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.