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Finding the Fourth Proportional to 77,345.80, 116,018.70 and 57,662.80

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Solution

The fourth proportional to 77,345.80, 116,018.70 and 57,662.80 is: 86,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345.80 : 116,018.70 = 57,662.80 : x
  2. Step 2: Convert to fraction form
    77,345.80/116,018.70 = 57,662.80/x
  3. Step 3: Cross multiply
    77,345.80x = 116,018.70 × 57,662.80
  4. Step 4: Simplify right side
    77,345.80x = 6,689,963,094.36
  5. Step 5: Solve for x
    x = 6,689,963,094.36/77,345.80
  6. Step 6: Final answer
    x = 86,494.20

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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.