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Finding the Fourth Proportional to 145,785.78, 219,345.71 and 86,665.70

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Solution

The fourth proportional to 145,785.78, 219,345.71 and 86,665.70 is: 130,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,785.78 : 219,345.71 = 86,665.70 : x
  2. Step 2: Convert to fraction form
    145,785.78/219,345.71 = 86,665.70/x
  3. Step 3: Cross multiply
    145,785.78x = 219,345.71 × 86,665.70
  4. Step 4: Simplify right side
    145,785.78x = 19,009,750,264.18
  5. Step 5: Solve for x
    x = 19,009,750,264.18/145,785.78
  6. Step 6: Final answer
    x = 130,395.09

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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.