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Finding the Fourth Proportional to 156,075, 234,147.24 and 61,314.36

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Solution

The fourth proportional to 156,075, 234,147.24 and 61,314.36 is: 91,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,075 : 234,147.24 = 61,314.36 : x
  2. Step 2: Convert to fraction form
    156,075/234,147.24 = 61,314.36/x
  3. Step 3: Cross multiply
    156,075x = 234,147.24 × 61,314.36
  4. Step 4: Simplify right side
    156,075x = 14,356,588,166.37
  5. Step 5: Solve for x
    x = 14,356,588,166.37/156,075
  6. Step 6: Final answer
    x = 91,985.19

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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.