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Finding the Fourth Proportional to 51,547, 77,320.56 and 14,104.30

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Solution

The fourth proportional to 51,547, 77,320.56 and 14,104.30 is: 21,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,547 : 77,320.56 = 14,104.30 : x
  2. Step 2: Convert to fraction form
    51,547/77,320.56 = 14,104.30/x
  3. Step 3: Cross multiply
    51,547x = 77,320.56 × 14,104.30
  4. Step 4: Simplify right side
    51,547x = 1,090,552,374.41
  5. Step 5: Solve for x
    x = 1,090,552,374.41/51,547
  6. Step 6: Final answer
    x = 21,156.47

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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.