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Finding the Fourth Proportional to 98,682.50, 136,181.86 and 53,970.50

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Solution

The fourth proportional to 98,682.50, 136,181.86 and 53,970.50 is: 74,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,682.50 : 136,181.86 = 53,970.50 : x
  2. Step 2: Convert to fraction form
    98,682.50/136,181.86 = 53,970.50/x
  3. Step 3: Cross multiply
    98,682.50x = 136,181.86 × 53,970.50
  4. Step 4: Simplify right side
    98,682.50x = 7,349,803,075.13
  5. Step 5: Solve for x
    x = 7,349,803,075.13/98,682.50
  6. Step 6: Final answer
    x = 74,479.30

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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.