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Finding the Fourth Proportional to 77,971.03, 116,897.07 and 64,602.99

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Solution

The fourth proportional to 77,971.03, 116,897.07 and 64,602.99 is: 96,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.03 : 116,897.07 = 64,602.99 : x
  2. Step 2: Convert to fraction form
    77,971.03/116,897.07 = 64,602.99/x
  3. Step 3: Cross multiply
    77,971.03x = 116,897.07 × 64,602.99
  4. Step 4: Simplify right side
    77,971.03x = 7,551,900,486.50
  5. Step 5: Solve for x
    x = 7,551,900,486.50/77,971.03
  6. Step 6: Final answer
    x = 96,855.21

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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.