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Finding the Fourth Proportional to 163,572, 225,636.96 and 103,038.72

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Solution

The fourth proportional to 163,572, 225,636.96 and 103,038.72 is: 142,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,572 : 225,636.96 = 103,038.72 : x
  2. Step 2: Convert to fraction form
    163,572/225,636.96 = 103,038.72/x
  3. Step 3: Cross multiply
    163,572x = 225,636.96 × 103,038.72
  4. Step 4: Simplify right side
    163,572x = 23,249,343,543.09
  5. Step 5: Solve for x
    x = 23,249,343,543.09/163,572
  6. Step 6: Final answer
    x = 142,135.23

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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.