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Finding the Fourth Proportional to 157,735, 236,567.12 and 45,390.20

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Solution

The fourth proportional to 157,735, 236,567.12 and 45,390.20 is: 68,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735 : 236,567.12 = 45,390.20 : x
  2. Step 2: Convert to fraction form
    157,735/236,567.12 = 45,390.20/x
  3. Step 3: Cross multiply
    157,735x = 236,567.12 × 45,390.20
  4. Step 4: Simplify right side
    157,735x = 10,737,828,890.22
  5. Step 5: Solve for x
    x = 10,737,828,890.22/157,735
  6. Step 6: Final answer
    x = 68,075.12

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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.