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Finding the Fourth Proportional to 213,188.93, 319,950.45 and 148,727.87

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Solution

The fourth proportional to 213,188.93, 319,950.45 and 148,727.87 is: 223,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,188.93 : 319,950.45 = 148,727.87 : x
  2. Step 2: Convert to fraction form
    213,188.93/319,950.45 = 148,727.87/x
  3. Step 3: Cross multiply
    213,188.93x = 319,950.45 × 148,727.87
  4. Step 4: Simplify right side
    213,188.93x = 47,585,547,334.29
  5. Step 5: Solve for x
    x = 47,585,547,334.29/213,188.93
  6. Step 6: Final answer
    x = 223,208.35

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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.