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Finding the Fourth Proportional to 342,159.81, 513,206.70 and 105,438.93

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Solution

The fourth proportional to 342,159.81, 513,206.70 and 105,438.93 is: 158,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,159.81 : 513,206.70 = 105,438.93 : x
  2. Step 2: Convert to fraction form
    342,159.81/513,206.70 = 105,438.93/x
  3. Step 3: Cross multiply
    342,159.81x = 513,206.70 × 105,438.93
  4. Step 4: Simplify right side
    342,159.81x = 54,111,965,316.83
  5. Step 5: Solve for x
    x = 54,111,965,316.83/342,159.81
  6. Step 6: Final answer
    x = 158,148.22

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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.