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Finding the Fourth Proportional to 153,140, 211,333.20 and 86,072

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Solution

The fourth proportional to 153,140, 211,333.20 and 86,072 is: 118,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,140 : 211,333.20 = 86,072 : x
  2. Step 2: Convert to fraction form
    153,140/211,333.20 = 86,072/x
  3. Step 3: Cross multiply
    153,140x = 211,333.20 × 86,072
  4. Step 4: Simplify right side
    153,140x = 18,189,871,190.40
  5. Step 5: Solve for x
    x = 18,189,871,190.40/153,140
  6. Step 6: Final answer
    x = 118,779.36

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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.