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Finding the Fourth Proportional to 160,415.36, 240,646.40 and 49,616

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Solution

The fourth proportional to 160,415.36, 240,646.40 and 49,616 is: 74,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,415.36 : 240,646.40 = 49,616 : x
  2. Step 2: Convert to fraction form
    160,415.36/240,646.40 = 49,616/x
  3. Step 3: Cross multiply
    160,415.36x = 240,646.40 × 49,616
  4. Step 4: Simplify right side
    160,415.36x = 11,939,911,782.40
  5. Step 5: Solve for x
    x = 11,939,911,782.40/160,415.36
  6. Step 6: Final answer
    x = 74,431.23

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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.