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Finding the Fourth Proportional to 30,448.50, 45,678.51 and 14,032.50

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Solution

The fourth proportional to 30,448.50, 45,678.51 and 14,032.50 is: 21,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.50 : 45,678.51 = 14,032.50 : x
  2. Step 2: Convert to fraction form
    30,448.50/45,678.51 = 14,032.50/x
  3. Step 3: Cross multiply
    30,448.50x = 45,678.51 × 14,032.50
  4. Step 4: Simplify right side
    30,448.50x = 640,983,691.58
  5. Step 5: Solve for x
    x = 640,983,691.58/30,448.50
  6. Step 6: Final answer
    x = 21,051.40

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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.