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Finding the Fourth Proportional to 153,178.58, 211,384.41 and 86,110.58

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Solution

The fourth proportional to 153,178.58, 211,384.41 and 86,110.58 is: 118,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,178.58 : 211,384.41 = 86,110.58 : x
  2. Step 2: Convert to fraction form
    153,178.58/211,384.41 = 86,110.58/x
  3. Step 3: Cross multiply
    153,178.58x = 211,384.41 × 86,110.58
  4. Step 4: Simplify right side
    153,178.58x = 18,202,434,148.06
  5. Step 5: Solve for x
    x = 18,202,434,148.06/153,178.58
  6. Step 6: Final answer
    x = 118,831.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.