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Finding the Fourth Proportional to 223,411.65, 308,307.51 and 121,437.11

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Solution

The fourth proportional to 223,411.65, 308,307.51 and 121,437.11 is: 167,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,411.65 : 308,307.51 = 121,437.11 : x
  2. Step 2: Convert to fraction form
    223,411.65/308,307.51 = 121,437.11/x
  3. Step 3: Cross multiply
    223,411.65x = 308,307.51 × 121,437.11
  4. Step 4: Simplify right side
    223,411.65x = 37,439,971,464.16
  5. Step 5: Solve for x
    x = 37,439,971,464.16/223,411.65
  6. Step 6: Final answer
    x = 167,582.90

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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.