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Finding the Fourth Proportional to 51,345, 77,030.46 and 14,409

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Solution

The fourth proportional to 51,345, 77,030.46 and 14,409 is: 21,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,345 : 77,030.46 = 14,409 : x
  2. Step 2: Convert to fraction form
    51,345/77,030.46 = 14,409/x
  3. Step 3: Cross multiply
    51,345x = 77,030.46 × 14,409
  4. Step 4: Simplify right side
    51,345x = 1,109,931,898.14
  5. Step 5: Solve for x
    x = 1,109,931,898.14/51,345
  6. Step 6: Final answer
    x = 21,617.14

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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.