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Finding the Fourth Proportional to 42,448.50, 63,702 and 14,746.50

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Solution

The fourth proportional to 42,448.50, 63,702 and 14,746.50 is: 22,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,448.50 : 63,702 = 14,746.50 : x
  2. Step 2: Convert to fraction form
    42,448.50/63,702 = 14,746.50/x
  3. Step 3: Cross multiply
    42,448.50x = 63,702 × 14,746.50
  4. Step 4: Simplify right side
    42,448.50x = 939,381,543
  5. Step 5: Solve for x
    x = 939,381,543/42,448.50
  6. Step 6: Final answer
    x = 22,129.91

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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.