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Finding the Fourth Proportional to 103,582.70, 155,459.10 and 53,678.06

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Solution

The fourth proportional to 103,582.70, 155,459.10 and 53,678.06 is: 80,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,582.70 : 155,459.10 = 53,678.06 : x
  2. Step 2: Convert to fraction form
    103,582.70/155,459.10 = 53,678.06/x
  3. Step 3: Cross multiply
    103,582.70x = 155,459.10 × 53,678.06
  4. Step 4: Simplify right side
    103,582.70x = 8,344,742,897.35
  5. Step 5: Solve for x
    x = 8,344,742,897.35/103,582.70
  6. Step 6: Final answer
    x = 80,561.16

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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.