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Finding the Fourth Proportional to 98,855.36, 136,431.84 and 56,420

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Solution

The fourth proportional to 98,855.36, 136,431.84 and 56,420 is: 77,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,855.36 : 136,431.84 = 56,420 : x
  2. Step 2: Convert to fraction form
    98,855.36/136,431.84 = 56,420/x
  3. Step 3: Cross multiply
    98,855.36x = 136,431.84 × 56,420
  4. Step 4: Simplify right side
    98,855.36x = 7,697,484,412.80
  5. Step 5: Solve for x
    x = 7,697,484,412.80/98,855.36
  6. Step 6: Final answer
    x = 77,866.13

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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.