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Finding the Fourth Proportional to 153,138, 211,330.44 and 86,070

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Solution

The fourth proportional to 153,138, 211,330.44 and 86,070 is: 118,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,138 : 211,330.44 = 86,070 : x
  2. Step 2: Convert to fraction form
    153,138/211,330.44 = 86,070/x
  3. Step 3: Cross multiply
    153,138x = 211,330.44 × 86,070
  4. Step 4: Simplify right side
    153,138x = 18,189,210,970.80
  5. Step 5: Solve for x
    x = 18,189,210,970.80/153,138
  6. Step 6: Final answer
    x = 118,776.60

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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.