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Finding the Fourth Proportional to 105,022.08, 157,487.04 and 39,312

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Solution

The fourth proportional to 105,022.08, 157,487.04 and 39,312 is: 58,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,022.08 : 157,487.04 = 39,312 : x
  2. Step 2: Convert to fraction form
    105,022.08/157,487.04 = 39,312/x
  3. Step 3: Cross multiply
    105,022.08x = 157,487.04 × 39,312
  4. Step 4: Simplify right side
    105,022.08x = 6,191,130,516.48
  5. Step 5: Solve for x
    x = 6,191,130,516.48/105,022.08
  6. Step 6: Final answer
    x = 58,950.75

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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.