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Finding the Fourth Proportional to 145,930.50, 201,384.36 and 78,862.50

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Solution

The fourth proportional to 145,930.50, 201,384.36 and 78,862.50 is: 108,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,930.50 : 201,384.36 = 78,862.50 : x
  2. Step 2: Convert to fraction form
    145,930.50/201,384.36 = 78,862.50/x
  3. Step 3: Cross multiply
    145,930.50x = 201,384.36 × 78,862.50
  4. Step 4: Simplify right side
    145,930.50x = 15,881,674,090.50
  5. Step 5: Solve for x
    x = 15,881,674,090.50/145,930.50
  6. Step 6: Final answer
    x = 108,830.40

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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.