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Finding the Fourth Proportional to 208,855.78, 313,312.84 and 103,646.50

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Solution

The fourth proportional to 208,855.78, 313,312.84 and 103,646.50 is: 155,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.78 : 313,312.84 = 103,646.50 : x
  2. Step 2: Convert to fraction form
    208,855.78/313,312.84 = 103,646.50/x
  3. Step 3: Cross multiply
    208,855.78x = 313,312.84 × 103,646.50
  4. Step 4: Simplify right side
    208,855.78x = 32,473,779,271.06
  5. Step 5: Solve for x
    x = 32,473,779,271.06/208,855.78
  6. Step 6: Final answer
    x = 155,484.23

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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.