Finding the Fourth Proportional to 149,148,773.53, 205,831,722.19 and 83,069,301.17
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Solution
The fourth proportional to 149,148,773.53, 205,831,722.19 and 83,069,301.17 is: 114,639,208.33
Step by Step Solution
- Step 1: Write the proportion equation
149,148,773.53 : 205,831,722.19 = 83,069,301.17 : x - Step 2: Convert to fraction form
149,148,773.53/205,831,722.19 = 83,069,301.17/x - Step 3: Cross multiply
149,148,773.53x = 205,831,722.19 × 83,069,301.17 - Step 4: Simplify right side
149,148,773.53x = 17,098,297,320,908,294 - Step 5: Solve for x
x = 17,098,297,320,908,294/149,148,773.53 - Step 6: Final answer
x = 114,639,208.33
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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.