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Finding the Fourth Proportional to 147,897.60, 221,985.60 and 77,827.20

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Solution

The fourth proportional to 147,897.60, 221,985.60 and 77,827.20 is: 116,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,897.60 : 221,985.60 = 77,827.20 : x
  2. Step 2: Convert to fraction form
    147,897.60/221,985.60 = 77,827.20/x
  3. Step 3: Cross multiply
    147,897.60x = 221,985.60 × 77,827.20
  4. Step 4: Simplify right side
    147,897.60x = 17,276,517,688.32
  5. Step 5: Solve for x
    x = 17,276,517,688.32/147,897.60
  6. Step 6: Final answer
    x = 116,814.05

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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.